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Finding the Third Proportional to 150,699 and 204,663

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Solution

The third proportional to 150,699 and 204,663 is: 277,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,699 : 204,663 = 204,663 : x
  2. Step 2: Convert to fraction form
    150,699/204,663 = 204,663/x
  3. Step 3: Cross multiply
    150,699x = 204,663 × 204,663
  4. Step 4: Simplify right side
    150,699x = 41,886,943,569
  5. Step 5: Solve for x
    x = 41,886,943,569/150,699
  6. Step 6: Final answer
    x = 277,951.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.